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Finding the Third Proportional to 492,990 and 779,955

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Solution

The third proportional to 492,990 and 779,955 is: 1,233,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,990 : 779,955 = 779,955 : x
  2. Step 2: Convert to fraction form
    492,990/779,955 = 779,955/x
  3. Step 3: Cross multiply
    492,990x = 779,955 × 779,955
  4. Step 4: Simplify right side
    492,990x = 608,329,802,025
  5. Step 5: Solve for x
    x = 608,329,802,025/492,990
  6. Step 6: Final answer
    x = 1,233,959.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.